Graphs 8

3 marks · Normal

Below are graphs of , , and .

Explain how each of the following transformations affects the graph of :

(i) Replacing x with x-1

(ii) Replacing x with x+3

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(i) Translates the graph 1 unit right (ii) Translates the graph 3 units left

Also accept: (i): 1 unit to the right; (ii): 3 units to the left; (i) Move right by 1; (ii) Move left by 3

Common mistakes: Giving wrong direction of translation

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Marking points

M1 · 1 mark · States that (i) shifts the graph to the right by 1 unit.

M2 · 1 mark · States that (ii) shifts the graph to the left by 3 units.

A1 · 1 mark · Both directions given correctly; explanation matches algebraic form.

Worked solution

(i) moves the graph right by 1 unit; (ii) moves the graph left by 3 units.